1 2 -2 76. 1 0 -2 3 01 2 2 -4 10 8 0 1 0 2 0 1.A= 0 1 0 2 2 =B 0 0 0 0 1 -2 2 4 -2 6 0 0 0 0 0 a. Is the equation Ax = b consistent for all bER? Explain. b. Give a basis for col(A). c. Give dim(col(A)). d. Give a basis for row(A). e. Give dim(row(A)). f. Give a basis for nul(A). g. Give dim(nul(A)).

1 2 -2 76. 1 0 -2 3 01 2 2 -4 10 8 0 1 0 2 0 1.A= 0 1 0 2 2 =B 0 0 0 0 1 -2 2 4 -2 6 0 0 0 0 0 a. Is the equation Ax = b consistent for all bER? Explain. b. Give a basis for col(A). c. Give dim(col(A)). d. Give a basis for row(A). e. Give dim(row(A)). f. Give a basis for nul(A). g. Give dim(nul(A)).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.4: Transistion Matrices And Similarity

Problem 39E

See similar textbooks